Use any method to find the volume, V, of the solid obtained by rotating the region enclosed by the curves about the given axis. y² = x¹, x = 1, x = 6, axis y = -6 (Express numbers in exact form. Use symbolic notation and fractions where needed.)

Find the volume of the solid that results when the shaded region is revolved about the indicated axis. NOTE: Enter the exact answer as an improper fraction 16 if necessary. y = 17 – 2r V 16

Find the volume V of the solid E enclosed by z=9-y², z = 36-x, x = 0, and z = 0. (Give an exact answer. Use symbolic notation and fractions where needed.) V =

Let V be the volume of a right circular cone of height h = 8 whose base is a circle of radius R = 4. A(y) = h (a) Use similar triangles to find the area of a horizontal cross section at a height y. Give your answer in terms of y. (Use symbolic notation and fractions where needed.) 0 V = (b) Calculate V by integrating the cross-sectional area. (Use symbolic notation and fractions where needed.)